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41534532 = 22351319173
BaseRepresentation
bin1001111001110…
…0010001000100
32220011011200000
42132130101010
541113101112
64042121300
71013015634
oct236342104
986134600
1041534532
1121499566
1211ab0230
1387b3160
1457326c4
1539a67dc
hex279c444

41534532 has 144 divisors (see below), whose sum is σ = 124138560. Its totient is φ = 12037248.

The previous prime is 41534531. The next prime is 41534539. The reversal of 41534532 is 23543514.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 41534496 and 41534505.

It is not an unprimeable number, because it can be changed into a prime (41534531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 239998 + ... + 240170.

Almost surely, 241534532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41534532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62069280).

41534532 is an abundant number, since it is smaller than the sum of its proper divisors (82604028).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41534532 is a wasteful number, since it uses less digits than its factorization.

41534532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 210 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 41534532 is about 6444.7290090430. The cubic root of 41534532 is about 346.3137808626.

The spelling of 41534532 in words is "forty-one million, five hundred thirty-four thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 27 36 38 39 52 54 57 76 78 81 108 114 117 156 162 171 173 228 234 243 247 324 342 346 351 468 486 494 513 519 684 692 702 741 972 988 1026 1038 1053 1404 1482 1539 1557 2052 2076 2106 2223 2249 2964 3078 3114 3159 3287 4212 4446 4498 4617 4671 6156 6228 6318 6574 6669 6747 8892 8996 9234 9342 9861 12636 13148 13338 13494 14013 18468 18684 19722 20007 20241 26676 26988 28026 29583 39444 40014 40482 42039 42731 56052 59166 60021 60723 80028 80964 84078 85462 88749 118332 120042 121446 128193 168156 170924 177498 182169 240084 242892 256386 266247 354996 364338 384579 512772 532494 546507 728676 769158 798741 1064988 1093014 1153737 1538316 1597482 2186028 2307474 3194964 3461211 4614948 6922422 10383633 13844844 20767266 41534532